120615264 has 384 divisors, whose sum is σ = 459648000. Its totient is φ = 30481920.

The previous prime is 120615251. The next prime is 120615269. The reversal of 120615264 is 462516021.

120615264 is a `hidden beast` number, since 1 + 20 + 615 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120615269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259854 + ... + 3259890.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 2^120615264 is an apocalyptic number.

120615264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120615264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

120615264 is an abundant number, since it is smaller than the sum of its proper divisors (339032736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120615264 is a wasteful number, since it uses less digits than its factorization.

120615264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 120615264 is about 10982.4980764851. The cubic root of 120615264 is about 494.0839624096.

The spelling of 120615264 in words is "one hundred twenty million, six hundred fifteen thousand, two hundred sixty-four".